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Finding the Fourth Proportional to 2,109.59, 3,164.35 and 570.59

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Solution

The fourth proportional to 2,109.59, 3,164.35 and 570.59 is: 855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.59 : 3,164.35 = 570.59 : x
  2. Step 2: Convert to fraction form
    2,109.59/3,164.35 = 570.59/x
  3. Step 3: Cross multiply
    2,109.59x = 3,164.35 × 570.59
  4. Step 4: Simplify right side
    2,109.59x = 1,805,527.79
  5. Step 5: Solve for x
    x = 1,805,527.79/2,109.59
  6. Step 6: Final answer
    x = 855.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.